Wolf's formulation for inverse scattering in the first Born approximation is reviewed and discussed from an experimental point-of-view. Some of the experimental problems associated with obtaining enough data to satisfy the requirements of this theory are described and a method for using symmetry to reduce the data requirements for a class of scatterers is explained. A successful experiment which employed this theory to reconstruct structure in an object with rectangular structure is reviewed. It appears that this theory is extremely difficult to apply to a more general scatterer with no simplifying symmetries.